%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC270-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:40:35 PM UTC 2026
% Result : Unsatisfiable 5.36s 1.21s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 31
% Syntax : Number of formulae : 101 ( 36 unt; 16 def)
% Number of atoms : 223 ( 10 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 218 ( 96 ~; 106 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [U] : ssList(skaf68(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U] : ssList(skaf67(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [U] : ssList(skaf66(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [U] : ssItem(skaf65(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U] : ssItem(skaf64(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [U,V] : ssList(skaf46(U,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [U,V] : ssList(skaf45(U,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
! [U] :
( totalorderedP(U)
| ~ ssList(U)
| ~ leq(skaf64(U),skaf65(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [U,V] :
( leq(U,V)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [U] :
( app(app(skaf66(U),cons(skaf64(U),skaf67(U))),cons(skaf65(U),skaf68(U))) = U
| totalorderedP(U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f181,axiom,
! [U,V,W,X,Y,Z] :
( lt(V,X)
| ~ ssList(Z)
| ~ strictorderedP(Z)
| ~ ssItem(V)
| ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(Y)
| app(app(U,cons(V,W)),cons(X,Y)) != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f221,plain,
! [X0] : ssList(skaf68(X0)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f222,plain,
! [X0] : ssList(skaf67(X0)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f223,plain,
! [X0] : ssList(skaf66(X0)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f224,plain,
! [X0] : ssItem(skaf65(X0)),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f225,plain,
! [X0] : ssItem(skaf64(X0)),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f244,plain,
! [X0,X1] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f245,plain,
! [X0,X1] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f286,plain,
! [X0] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f300,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f389,plain,
! [X0] :
( app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f415,plain,
! [V,X] :
( lt(V,X)
| ! [Z] :
( ~ ssList(Z)
| ~ strictorderedP(Z)
| ~ ssItem(V)
| ~ ssItem(X)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| ! [Y] :
( ~ ssList(Y)
| app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) ) ) ),
inference(miniscoping,[status(thm)],[f181]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4,X5] :
( lt(X1,X3)
| ~ ssList(X5)
| ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f427,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f432,plain,
strictorderedP(sk3),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f433,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f465,plain,
! [X0,X1,X2,X3,X4] :
( lt(X4,X3)
| ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f416]) ).
fof(f472,plain,
~ totalorderedP(sk3),
inference(forward_demodulation,[status(thm)],[f430,f433]) ).
fof(f491,definition,
( sQ5_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ5_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f529,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f427]) ).
fof(f530,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f529]) ).
fof(f5157,definition,
( sQ544_spl
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f5159,plain,
( sQ544_spl
| ~ strictorderedP(sk3) ),
inference(component_clause,[status(thm)],[f5157]) ).
fof(f5167,definition,
( sQ547_spl
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f5168,plain,
( ~ sQ547_spl
| totalorderedP(sk3) ),
inference(component_clause,[status(thm)],[f5167]) ).
fof(f5281,plain,
( sQ544_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5159,f432]) ).
fof(f5282,plain,
sQ544_spl,
inference(contradiction_clause,[status(thm)],[f5281]) ).
fof(f5346,plain,
( ~ sQ547_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5168,f472]) ).
fof(f5347,plain,
~ sQ547_spl,
inference(contradiction_clause,[status(thm)],[f5346]) ).
fof(f8157,plain,
( app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f389,f472]) ).
fof(f8159,definition,
( sQ740_spl
<=> app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ740_spl])],[split_symbol_definition]) ).
fof(f8160,plain,
( ~ sQ740_spl
| app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3 ),
inference(component_clause,[status(thm)],[f8159]) ).
fof(f8162,plain,
( sQ740_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f8157,f491,f8159]) ).
fof(f8504,plain,
( ~ sQ740_spl
| lt(skaf64(sk3),skaf65(sk3))
| ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))))
| ~ strictorderedP(sk3)
| ~ ssItem(skaf64(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssList(skaf66(sk3))
| ~ ssList(skaf67(sk3))
| ~ ssList(skaf68(sk3)) ),
inference(paramodulation,[status(thm)],[f8160,f465]) ).
fof(f8512,definition,
( sQ748_spl
<=> ssList(skaf68(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ748_spl])],[split_symbol_definition]) ).
fof(f8514,plain,
( sQ748_spl
| ~ ssList(skaf68(sk3)) ),
inference(component_clause,[status(thm)],[f8512]) ).
fof(f8515,definition,
( sQ749_spl
<=> ssList(skaf67(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ749_spl])],[split_symbol_definition]) ).
fof(f8517,plain,
( sQ749_spl
| ~ ssList(skaf67(sk3)) ),
inference(component_clause,[status(thm)],[f8515]) ).
fof(f8518,definition,
( sQ750_spl
<=> ssList(skaf66(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ750_spl])],[split_symbol_definition]) ).
fof(f8520,plain,
( sQ750_spl
| ~ ssList(skaf66(sk3)) ),
inference(component_clause,[status(thm)],[f8518]) ).
fof(f8521,definition,
( sQ751_spl
<=> ssItem(skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ751_spl])],[split_symbol_definition]) ).
fof(f8523,plain,
( sQ751_spl
| ~ ssItem(skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f8521]) ).
fof(f8524,definition,
( sQ752_spl
<=> ssItem(skaf64(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ752_spl])],[split_symbol_definition]) ).
fof(f8526,plain,
( sQ752_spl
| ~ ssItem(skaf64(sk3)) ),
inference(component_clause,[status(thm)],[f8524]) ).
fof(f8527,definition,
( sQ753_spl
<=> ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ753_spl])],[split_symbol_definition]) ).
fof(f8529,plain,
( sQ753_spl
| ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))) ),
inference(component_clause,[status(thm)],[f8527]) ).
fof(f8530,definition,
( sQ754_spl
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ754_spl])],[split_symbol_definition]) ).
fof(f8531,plain,
( ~ sQ754_spl
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f8530]) ).
fof(f8533,plain,
( ~ sQ740_spl
| sQ754_spl
| ~ sQ753_spl
| ~ sQ544_spl
| ~ sQ752_spl
| ~ sQ751_spl
| ~ sQ750_spl
| ~ sQ749_spl
| ~ sQ748_spl ),
inference(split_clause,[status(thm)],[f8504,f8512,f8515,f8518,f8521,f8524,f5157,f8527,f8530,f8159]) ).
fof(f8534,definition,
( sQ755_spl
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ755_spl])],[split_symbol_definition]) ).
fof(f8535,plain,
( ~ sQ755_spl
| leq(skaf64(sk3),skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f8534]) ).
fof(f8568,plain,
( sQ751_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8523,f224]) ).
fof(f8569,plain,
sQ751_spl,
inference(contradiction_clause,[status(thm)],[f8568]) ).
fof(f8570,plain,
( sQ748_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8514,f221]) ).
fof(f8571,plain,
sQ748_spl,
inference(contradiction_clause,[status(thm)],[f8570]) ).
fof(f8572,plain,
( sQ750_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8520,f223]) ).
fof(f8573,plain,
sQ750_spl,
inference(contradiction_clause,[status(thm)],[f8572]) ).
fof(f8574,plain,
( sQ753_spl
| ~ sQ740_spl
| ~ ssList(sk3) ),
inference(forward_demodulation,[status(thm)],[f8160,f8529]) ).
fof(f8575,plain,
( sQ753_spl
| ~ sQ740_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8574,f427]) ).
fof(f8576,plain,
( sQ753_spl
| ~ sQ740_spl ),
inference(contradiction_clause,[status(thm)],[f8575]) ).
fof(f8577,plain,
( sQ752_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8526,f225]) ).
fof(f8578,plain,
sQ752_spl,
inference(contradiction_clause,[status(thm)],[f8577]) ).
fof(f8580,plain,
( sQ749_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8517,f222]) ).
fof(f8581,plain,
sQ749_spl,
inference(contradiction_clause,[status(thm)],[f8580]) ).
fof(f9920,definition,
( sQ829_spl
<=> ssList(skaf46(sk3,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ829_spl])],[split_symbol_definition]) ).
fof(f9922,plain,
( sQ829_spl
| ~ ssList(skaf46(sk3,sk3)) ),
inference(component_clause,[status(thm)],[f9920]) ).
fof(f9928,plain,
( sQ829_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9922,f244]) ).
fof(f9929,plain,
sQ829_spl,
inference(contradiction_clause,[status(thm)],[f9928]) ).
fof(f9944,definition,
( sQ831_spl
<=> ssList(skaf46(sk4,sk4)) ),
introduced(definition,[new_symbols(definition,[sQ831_spl])],[split_symbol_definition]) ).
fof(f9946,plain,
( sQ831_spl
| ~ ssList(skaf46(sk4,sk4)) ),
inference(component_clause,[status(thm)],[f9944]) ).
fof(f9966,plain,
( sQ831_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9946,f244]) ).
fof(f9967,plain,
sQ831_spl,
inference(contradiction_clause,[status(thm)],[f9966]) ).
fof(f10415,definition,
( sQ838_spl
<=> ssList(skaf45(sk3,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ838_spl])],[split_symbol_definition]) ).
fof(f10417,plain,
( sQ838_spl
| ~ ssList(skaf45(sk3,sk3)) ),
inference(component_clause,[status(thm)],[f10415]) ).
fof(f10428,plain,
( sQ838_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10417,f245]) ).
fof(f10429,plain,
sQ838_spl,
inference(contradiction_clause,[status(thm)],[f10428]) ).
fof(f10437,definition,
( sQ840_spl
<=> ssList(skaf45(sk4,sk4)) ),
introduced(definition,[new_symbols(definition,[sQ840_spl])],[split_symbol_definition]) ).
fof(f10439,plain,
( sQ840_spl
| ~ ssList(skaf45(sk4,sk4)) ),
inference(component_clause,[status(thm)],[f10437]) ).
fof(f10450,plain,
( sQ840_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10439,f245]) ).
fof(f10451,plain,
sQ840_spl,
inference(contradiction_clause,[status(thm)],[f10450]) ).
fof(f10591,plain,
( ~ sQ754_spl
| leq(skaf64(sk3),skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ ssItem(skaf65(sk3)) ),
inference(resolution,[status(thm)],[f300,f8531]) ).
fof(f10593,plain,
( ~ sQ754_spl
| sQ755_spl
| ~ sQ752_spl
| ~ sQ751_spl ),
inference(split_clause,[status(thm)],[f10591,f8521,f8524,f8534,f8530]) ).
fof(f10617,plain,
( ~ sQ755_spl
| totalorderedP(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f8535,f286]) ).
fof(f10619,plain,
( ~ sQ755_spl
| sQ547_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10617,f491,f5167,f8534]) ).
fof(f10627,plain,
$false,
inference(sat_refutation,[status(thm)],[f530,f5282,f5347,f8162,f8533,f8569,f8571,f8573,f8576,f8578,f8581,f9929,f9967,f10429,f10451,f10593,f10619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC270-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:09:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 5.36/1.21 % Refutation found
% 5.36/1.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.36/1.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.36/1.26 % Elapsed time: 0.880202 seconds
% 5.36/1.26 % CPU time: 6.485367 seconds
% 5.36/1.26 % Total memory used: 167.633 MB
% 5.36/1.26 % Net memory used: 161.615 MB
%------------------------------------------------------------------------------